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Paper Citation Record · LEDGER

Strong law of large numbers for a function of the local times of a transient random walk in $\mathbb Z^d$

As of 16 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:1908.06611.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.06611 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:50:31.952683Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fd88ed6e-a484-4e41-8beb-80b525ce3402 · outbound

This paper cites an unresolved cited work.

Strong law of large numbers for a function of the local times of a transient random walk in $\mathbb Z^d$ Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:50:32.125887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:50:31.907858Z digest=sha256:e39f6b0c24897b84bb202e2dddfb5a7f74bfaf0fde36cf78719068e57ba0f84a

Observation eff5ec1c-bc50-4400-b7e0-0c25d8ad6387 · outbound

This paper cites an unresolved cited work.

Strong law of large numbers for a function of the local times of a transient random walk in $\mathbb Z^d$ Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:50:32.114330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:50:31.912329Z digest=sha256:8bf807f308d80353f523ea17aa002235997014efa993d10428acd6c716341d2a

Observation beb81657-578d-433e-8ecb-90e9ce12513f · outbound

This paper cites an unresolved cited work.

Strong law of large numbers for a function of the local times of a transient random walk in $\mathbb Z^d$ Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:50:32.102528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:50:31.916199Z digest=sha256:356ed3769c66270e816c74c784b1c14a9e8b3429344abb2a5c5e29a8f006e4c4

Observation bae8ce67-3276-42ec-bed6-9adbecdd00d0 · outbound

This paper cites Acta Math.

Strong law of large numbers for a function of the local times of a transient random walk in $\mathbb Z^d$ Acta Math

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:50:32.090641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:50:31.920163Z digest=sha256:b036c84b726a0464bb055a69867a3b697b857a5eb57bccf02f938c5db5089508

Observation af4ed0d1-fea6-40ff-b88b-745b2bb95d30 · outbound

This paper cites B.: Strong renewal theorems with infinite mea n.

Strong law of large numbers for a function of the local times of a transient random walk in $\mathbb Z^d$ B.: Strong renewal theorems with infinite mea n

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:50:32.078582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:50:31.924046Z digest=sha256:715eacafbf2e19a253d70d322aa017a7ceaa1d10ef5a696980c23291e10aefda

Observation 500a4c43-286b-4928-8dce-ddf4d0bd65d3 · outbound

This paper cites an unresolved cited work.

Strong law of large numbers for a function of the local times of a transient random walk in $\mathbb Z^d$ Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:50:32.065823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:50:31.928041Z digest=sha256:ebde781628f567a1505fde75ccb1d3915d5cb12c82ab92c197c7b027cc104a87

Observation ae494937-0cee-4daf-8ebf-31d38b5a01aa · outbound

This paper cites an unresolved cited work.

Strong law of large numbers for a function of the local times of a transient random walk in $\mathbb Z^d$ Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:50:32.054953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:50:31.931890Z digest=sha256:8c2aaf2a697c2bbbda2f8e6dcb68649444c506f1194def549ddf8323686b1fe6

Observation 6e2e7f42-d7f3-4766-9328-b12973122203 · outbound

This paper cites In: Proc.

Strong law of large numbers for a function of the local times of a transient random walk in $\mathbb Z^d$ In: Proc

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:50:32.043502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:50:31.935274Z digest=sha256:2469ea09e6ca4dfdf75941f0729e6c8664dbff5c8f686822dfdf8f857156b993

Observation 33b0facf-1556-46f6-8bea-28ec9e51bd28 · outbound

This paper cites an unresolved cited work.

Strong law of large numbers for a function of the local times of a transient random walk in $\mathbb Z^d$ Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:50:32.031208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:50:31.938739Z digest=sha256:ea8ef60689ba35b802a413653b2c59dd178386f05e209d23c4233e1c3a25afee

Observation 5acdb191-544c-45ec-b97c-856ae1a65cd3 · outbound

This paper cites Duke Math.

Strong law of large numbers for a function of the local times of a transient random walk in $\mathbb Z^d$ Duke Math

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:50:32.019018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:50:31.942124Z digest=sha256:f9c6448e11cc5d20b98f07653dd8bad0d89afce851471a2f042fac37cd77ad15

Observation c12c20e5-1248-4245-89f1-81788ed296b0 · outbound

This paper cites Studia Sci.

Strong law of large numbers for a function of the local times of a transient random walk in $\mathbb Z^d$ Studia Sci

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:50:32.006970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:50:31.945507Z digest=sha256:2d9f824c41a8ce493fe8cbbde939208146d458148f3ed4eb424f3a69c0c6f6db

Observation e2729c20-9a6b-4e1b-86c5-69d2e46f3bff · outbound

This paper cites V an Nostrand, Princeton (1964).

Strong law of large numbers for a function of the local times of a transient random walk in $\mathbb Z^d$ V an Nostrand, Princeton (1964)

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:50:31.994399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:50:31.949316Z digest=sha256:268052c555ae28038e71cfb655421fb4a811534f90847aa6b95142ae17ba8aec

Observation d8ea7b9c-db5e-4fa6-be8e-e75a6c0ee044 · outbound

This paper cites an unresolved cited work.

Strong law of large numbers for a function of the local times of a transient random walk in $\mathbb Z^d$ Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:50:31.983012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:50:31.952683Z digest=sha256:e7f941b420c335c2ee0f284570653f0666c901c1cb87d00d85a5d528f979b7e7

Pith citing papers

No inbound Pith citation observations are available.